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Complements of Higher Mathematics (Hardcover, 1st ed. 2018)
Loot Price: R3,073
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Complements of Higher Mathematics (Hardcover, 1st ed. 2018)
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This book highlights the remarkable importance of special
functions, operational calculus, and variational methods. A
considerable portion of the book is dedicated to second-order
partial differential equations, as they offer mathematical models
of various phenomena in physics and engineering. The book provides
students and researchers with essential help on key mathematical
topics, which are applied to a range of practical problems. These
topics were chosen because, after teaching university courses for
many years, the authors have found them to be essential, especially
in the contexts of technology, engineering and economics. Given the
diversity topics included in the book, the presentation of each is
limited to the basic notions and results of the respective
mathematical domain. Chapter 1 is devoted to complex functions.
Here, much emphasis is placed on the theory of holomorphic
functions, which facilitate the understanding of the role that the
theory of functions of a complex variable plays in mathematical
physics, especially in the modeling of plane problems. In addition,
the book demonstrates the importance of the theories of special
functions, operational calculus, and variational calculus. In the
last chapter, the authors discuss the basic elements of one of the
most modern areas of mathematics, namely the theory of optimal
control.
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